Journal
WAVE MOTION
Volume 124, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.wavemoti.2023.103245
Keywords
Coupled Gerdjikov-Ivanov equation; Coupled derivative nonlinear Schrodinger; equation; Binary Darboux transformation; Quasideterminants; Quasi-Grammians
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We construct the N-fold standard binary Darboux transformation for the coupled Gerdjikov-Ivanov equation and use it to obtain explicit solutions of the equation in terms of quasi-Grammians. Furthermore, we present various particular solutions for the equation, including soliton, breather, and rogue wave solutions.
We construct the N-fold standard binary Darboux transformation (bDT) for the coupled Gerdjikov-Ivanov (cGI) equation. Then, using the bDT presented in this article, we explicitly construct the exact solutions of the cGI equation in terms of quasi-Grammians. As applications of the bDT, we present various particular solutions for the cGI equation, including soliton, breather, and rogue wave solutions.
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